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Dear Steve,
My theory has "3-legged" fermion-boson-fermion Feynman diagrams. The initial fermion is 8-dimensional. The interaction boson can have dimensionality up to 11. And the final fermion is also 8-dimensional (but it must be a different set of 8-D within the 12-D K12' lattice). Now we have 8D+11D+8D=27 dimensions - consistent with Lawrence's 27-dimensional "3-octonions" or "J27" with a 3-D transformation.
Getting back to Mohammed's ideas, perhaps his "3-geared" model is an alternative (non-Particle Physics) representation of a "3-legged" Feynman diagram. If we treat these matter fermions and interaction bosons as "zero-D point particles", then we cannot find a physical "gear" anywhere in the problem. The interaction boson exchanges quantum numbers (such as energy, momentum, color, electric charge, etc.) with the initial and final state fermions at the vertex of the Feynman diagram. Thus, the effective "gear" (or "pulley" or whatever mechanical process you want to call it) is this vertex.
I understand that Mohammed's background is in Plasma Physics. I once studied that field, and designed an experiment on the Texas Experimental Tokamak (TEXT) back in the '80's. Quite frankly, there are major differences between Plasma and Particle Physics, and it is reasonable that his analogies and "normal" particle physics analogies would be different.
Have Fun!
Ray Munroe